Reddit mentions of ZEM Brush Kolinsky Pure Sable Artist Brush Set Detail Sizes 10/0,0,2,4

A couple other points:

In addition to keeping them clean, mind how you use them. THis is personal observation, mind you - Do not "poke" at things with the brush. dont even paint at a 90 degree angle if you can help it. Ive noticed that this will curl a synthetic brush in no time. So...one good thing, I think in using the synthetics early on is learning to avoid that habit of jabbing paint into crevices and finding ways to "stroke" the paint

The shaking hands are tension and stress. It can either be from bracing too hard, i.e. "white knuckles" or from not supprting arms and such well or at all and so muscle fatigue creeps in. So: look at ways of supporting your painting limbs, but dont "clamp down".

Try making your hands like a cup and saucer or "gun hands" like you see in the movies. One hand - the saucer underneath. the other hand makes an "ok" sign and rest the heel of that hand - The cup - agains the heel of your "saucer hand". Now imagine the saucer hand holding the mini and the cup hand holding the brush between the thumb and forefinger. bingo. Now you can rest thesaucer elbow on the desk to support even better. and if necessary, both elbows.

Tis is not perfect of course but you get the idea of the thing. and you will find you can adjust this pose to suit whatever angle you need to get to by rotating the mini and bracing different parts of your cup hand against your saucer hand.

You probably want to avoid the crafts paints. Ive not tried them but the reputation is that the pigment is too coarse for miniatures. A couple reaper basic kits and you are set with paints, especially as you get better at mixing.

EDIT: I recently tried these brushes - https://www.amazon.com/gp/product/B00M7HPVV2/ Im a fan. that number 2 is incredibly good compared to what Ive been using. and they dont break the bank

I use a Da Vinci series 35 size 0 for all my details but they are super expensive on amazon.
I've heard good things about [this set] (https://www.amazon.com/ZEM-BRUSH-Kolinsky-Artist-Detail/dp/B00M7HPVV2/ref=mp_s_a_1_2?ie=UTF8&qid=1537841509&sr=8-2&pi=AC_SX236_SY340_QL65&keywords=zem+kolinsky&dpPl=1&dpID=41bpKKr9LoL&ref=plSrch)

Painting supplies, I like a mix of cheap and quality brushes.

• Big bag of cheap base coat and metalics brushes - https://www.amazon.com/Synthetic-Brushes-Miniature-Painting-Watercolor/dp/B073YDNZDF/
  
• Detail Brushes - This set of 4 costs as much as one Windsor and Newton and uses the same/similar hair. You get the same type of paint flow as the more expensive brush without risking an expensive W&N in a new painter's hand. - https://www.amazon.com/gp/aw/d/B00M7HPVV2/
  
• Dry Brushes 4 for the cost of 1 GW drybrush - https://www.amazon.com/gp/aw/d/B00N64NIYC/
  
• Brush Cleaner - https://www.amazon.com/General-Pencil-105-BP-Masters-Preserver/dp/B0027AEANE/
  
• Rinsing station - new favorite is the small GW one saves lots of space on the desk compared to the big square artist ones I was using. Does need to be emptied a little more often, but worth the space savings for me - https://www.games-workshop.com/en-US/Citadel-Water-Pot-2018
  
• Pallet Paper - I find this easier to use pallet paper than a wet pallet when starting out. Easier to see the oaint consistency as you are thinning it. Available in 9xx12" on Amazon or most art stores or the smaller space savings GW one. https://www.amazon.com/Darice-97490-1-Palette-12-Inch-50-Sheets/dp/B004GXBXRG/ or https://www.amazon.com/Games-Workshop-GW60-36-CITADEL-PALETTE/dp/B00Q0GXEO2/
  
• Wet Pallet - If you want to jump right in, a wet pallet will waste less paint and better preserve paint mixes. https://www.amazon.com/Sta-Wet-Palette-Keeps-Paints-Airtight/dp/B000C18GTE/
  
  
  Paints... Either buy peice meal what you need from local shop or buy a nice big kit to start.
  
  
• Big value Army Painter set - https://www.amazon.com/Miniature-Painting-Bonus-Wargamer-Regiment/dp/B01MTXRUUT/
  
• Starter Vallejo with basic colors for mixing your own. - https://www.amazon.com/Vallejo-Basic-Colors-Paint-17ml/dp/B009162PWU/
  
  EDIT - Don't forget spray primers. A nice flat Krylon or Rust-Oleum grey can do the job for anything. Or get one white and one black can for various needs.